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K-space Prony’s method for generating the basis functions of multi-Gaussian beam models |
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| Authors: | Lester W. Schmerr Jr. Ana L. Lopez-Sanchez |
| Affiliation: | a Center for NDE and the Dept. of Aerospace Engineering, Iowa State University, Ames, Iowa 50011, USA b Centro Nacional de Metrología, Querétaro 76246, Mexico c Dept. of Mechanical Eng., Lakehead University, Thunder Bay, ON, Canada P7B 5E1 |
| Abstract: | The expansion coefficients of a multi-Gaussian ultrasonic beam model are obtained by a new approach that applies Prony´s method in a K-space domain. This method allows the fitting of the Gaussian beam directly at the face of the transducer with very high computational efficiency. It is demonstrated that the K-space Prony’s method can be used to accurately model the transducer field of planar and focused piston transducers, as well as probes that do not act as pistons. The choice of parameters appearing in the method and their influence on performance are discussed. |
| Keywords: | Multi-Gaussian beam models Prony&rsquo s method Piston transducer Non-linear least squares |
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